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If the inclined angle between two plane mirrors is 60, Calculate the No. of Image formed.
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2 partsStep-by-step solution
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Part 2· 3 steps
Identify the given angle.
The inclined angle between the two plane mirrors is .
State the formula for the number of images formed.
The number of images () formed by two plane mirrors inclined at an angle is given by the formula:
This formula is used when is an even integer, or when it's an odd integer and the object is placed symmetrically. For an even integer, it always applies.
Substitute the given angle into the formula and calculate.
The number of images formed is .
Part 3
Assumption: The angle marked '249' in the diagram is , representing the angle between the reflected ray and the mirror surface.
Identify the angles from the diagram and the law of reflection.
The diagram shows a mirror surface (horizontal line) and a normal (vertical line perpendicular to the mirror).
Angle M is the angle of incidence (between the incident ray and the normal).
Angle N is the angle of reflection (between the reflected ray and the normal).
The angle between the reflected ray and the mirror surface is given as .Calculate the angle of reflection (N).
The normal is perpendicular to the mirror surface, so the angle between the normal and the mirror surface is .
Therefore, the angle of reflection (N) and the angle between the reflected ray and the mirror surface () sum to .Calculate the angle of incidence (M).
According to the Law of Reflection, the angle of incidence is equal to the angle of reflection.
The angles are .
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